Dewayne is comparing two checking accounts. one has a monthly fee of $7 and a per-check fee of $0.30, and the other has a monthly fee of $4 and a per-check fee of $0.40. what is the minimum number of checks dewayne needs to write for the first bank to be a better option?

7 +0.30x = 4 +0.40x

subtract 4 from each side

3+0.30x = 0.40x

subtract 0.3x from each side

3 = 0.10x

divide both sides by 0.10

3 /0.10 = 30

30 checks would make both accounts equal

so he would need to write 31 checks for the first one to be better.

Step 2: (x + 4)(x + 2) = 8

Step-by-step explanation:

x2 + 6x + 8 = 0

x2 + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 2)(x + 4) = 0